The 23-year-old has impressed in Serie A this term.
And Italian news outlet Calciomercato claim the winger has caught Conte’s attention.
It’s suggested the Blues might be able to secure his signature for around £21m.
“AC Milan ace Suso is wanted by Chelsea”
Suso was previously on the books at Liverpool.
The Spaniard was tipped for big things on Merseyside.
But following a loan stint at Almeria the Reds opted to cash in having been unable to agree a new deal with him.
He joined Milan in January 2015 for £1m with his contract at Anfield set to expire that summer.
Speaking at the time he said: “My contract was expiring, and [Liverpool’s] proposal to renew was not good.
“Certainly it was a special place, I joined when I was a kid and it seemed like a dream.”